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Finding the Fourth Proportional to 17,078.24, 25,602.20 and 8,188.72

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Solution

The fourth proportional to 17,078.24, 25,602.20 and 8,188.72 is: 12,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.24 : 25,602.20 = 8,188.72 : x
  2. Step 2: Convert to fraction form
    17,078.24/25,602.20 = 8,188.72/x
  3. Step 3: Cross multiply
    17,078.24x = 25,602.20 × 8,188.72
  4. Step 4: Simplify right side
    17,078.24x = 209,649,247.18
  5. Step 5: Solve for x
    x = 209,649,247.18/17,078.24
  6. Step 6: Final answer
    x = 12,275.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.